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T is a parallelepiped in which A,B,C and...

T is a parallelepiped in which A,B,C and D are vertices of one face and the face just above it has corresponding vertices A’,B’,C’,D’,T is now compressed to S with face ABCD remaining same and shifted to A”,B”,C”,D”, in S. The volume of parallelepiped S is reduced to 90% of T. Prove that locus of is a plane.

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